3855101040 has 400 divisors, whose sum is σ = 15722511552. Its totient is φ = 856977408.

The previous prime is 3855101039. The next prime is 3855101057. The reversal of 3855101040 is 401015583.

3855101040 is a `hidden beast` number, since 3 + 8 + 551 + 0 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3855100995 and 3855101013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1677172 + ... + 1679468.

Almost surely, 2^3855101040 is an apocalyptic number.

3855101040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3855101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861255776).

3855101040 is an abundant number, since it is smaller than the sum of its proper divisors (11867410512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3855101040 is a wasteful number, since it uses less digits than its factorization.

3855101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 3855101040 is about 62089.4599751037. The cubic root of 3855101040 is about 1567.9970997274.

The spelling of 3855101040 in words is "three billion, eight hundred fifty-five million, one hundred one thousand, forty".